The best way to lower the cost of housing is to 
    increase the supply of housing. And the best way 
    to do that is to unleash developers whatever is 
    most profitable whenever and whoever they want 
    without government regulation and NIMBY activists 
    getting in their way. 

You had me up until here. There is surely a (messy) middle ground between "recognizing that increasing housing supply drives down pricing" and "letting real estate developers do literally whatever they want."

I spent quite a few years living in a "trendy" area where housing developers crammed as much housing into it as possible. The results were not pretty. Very easy to create an environmental and quality-of-life nightmare which is particularly unfair to those already living in the area, with no say over what becomes of it.

The goals of housing developers are not necessarily aligned with that of society.